Momentum Conservation. Two Balls  Two balls fall at the same rate due to gravity, but with different momenta.  Ball 1 bounces from the ground.  Ball.

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Presentation transcript:

Momentum Conservation

Two Balls  Two balls fall at the same rate due to gravity, but with different momenta.  Ball 1 bounces from the ground.  Ball 2 bounces from ball 1. p f1 p f2 p i1 p i2

Two Bodies  When two bodies strike each other they exert a force on each other.  The forces are equal and opposite. F 12 F 21

Momentum Change  If two forces are equal in magnitude, then the changes in momentum are equal in magnitude. F 12 p i1 F 21 p f1 p f2 p i2

Internal Forces  Two objects can be considered together.  This is called a system.  The internal forces cancel out from the law of reaction.  The external forces remain. F g1 F g2 F 12 F 21

Isolated System  A system with no external forces is isolated. Only internal forces that cancel outOnly internal forces that cancel out  The net change in momentum for all internal forces must be zero.  Total momentum in an isolated system is constant. Zero change means constant valueZero change means constant value

Law of Reaction Redefined  The law of reaction can be defined in terms of momentum. In an isolated system the total momentum is conserved.In an isolated system the total momentum is conserved. rocket reaction force acts on the rocket rocket momentum increases hot gas is forced out total momentum of the rocket and gas stays the same

Double Bounce  Initially both balls go down together with the same velocity. next p i1 p i2  The lower ball gets a force from the floor and changes momentum. p m1 p i2  The lower ball hits the upper ball and momentum is conserved between the balls. p f1 p f2